Kazim Ilarslan

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Some characterizations of the Euclidean rectifying curves, i.e. the curves in E which have a property that their position vector always lies in their rectifying plane, are given in [3]. In this paper, we characterize non–null and null rectifying curves, lying fully in the Minkowski 3–space E 1 . Also, in considering a causal character of a curve we give(More)
In this paper, we characterize the spacelike, the timelike and the null rectifying curves in the Minkowski 3-space in terms of centrodes. In particular, we show that the spacelike and timelike rectifying curves are the extremal curves for which the corresponding function takes its extremal value. On the other hand, we also show that the null rectifying(More)
1 Department of Mathematics, Faculty of Sciences, University of Cankiri Karatekin, Cankiri 18100, Turkey 2 School of Mathematics & Statistical Sciences, Arizona State University, Room PSA442, Tempe, AZ 85287-1804, USA 3Department of Mathematics, Faculty of Sciences and Art, University of Kırıkkale, Kırıkkale 71450, Turkey 4University of Kragujevac, Faculty(More)
In this paper, by using the similar idea of Matsuda and Yorozu [12], we prove that if bitorsion of a quatenionic curve α is no vanish, then there is no quaternionic curve in E is a Bertrand curve. Then we define (1, 3) type Bertrand curves for quatenionic curve in Euclidean 4-space. We give some characterizations for a (1, 3) type quaternionic Bertrand(More)